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Kitty [74]
3 years ago
9

The sum of the measures of five interior angles of a hexagon is 593°. Find the missing measure of the sixth interior angle.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0
General Formula for a n-gon:

\boxed { \boxed { \text { (n-2) x 180}}}

A hexagon has 6 sides.

Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°

Given that sum of 5 interior angles = 593°

6th interior angles = 720 - 593 = 127°

\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}
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